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Finding the Fourth Proportional to 10,751.76, 14,823.48 and 7,388.40

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Solution

The fourth proportional to 10,751.76, 14,823.48 and 7,388.40 is: 10,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.76 : 14,823.48 = 7,388.40 : x
  2. Step 2: Convert to fraction form
    10,751.76/14,823.48 = 7,388.40/x
  3. Step 3: Cross multiply
    10,751.76x = 14,823.48 × 7,388.40
  4. Step 4: Simplify right side
    10,751.76x = 109,521,799.63
  5. Step 5: Solve for x
    x = 109,521,799.63/10,751.76
  6. Step 6: Final answer
    x = 10,186.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.